Analysis of time-varying delay systems by hybrid of block-pulse functions and biorthogonal multiscaling functions

Mohammadzadeh R., Lakestanı M.

International Journal of Control, cilt.88, sa.12, ss.2444-2456, 2015 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 88 Sayı: 12
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1080/00207179.2015.1046496
  • Dergi Adı: International Journal of Control
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2444-2456
  • Anahtar Kelimeler: biorthogonal multiscaling functions, block-pulse function, cubic Hermite splines, Delay systems, hybrid functions, operational matrix
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

This paper proposes new effective methods for analysis of time-varying delay systems using new hybrid functions. The excellent properties of the hybrid functions which consist of block pulse functions and biorthogonal multiscaling functions are presented. We utilise operational matrices of product, delay and integration to reduce the solution of delay systems to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the presented technique.